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Finding the Fourth Proportional to 211,219.33, 316,829.66 and 53,447.74

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Solution

The fourth proportional to 211,219.33, 316,829.66 and 53,447.74 is: 80,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,219.33 : 316,829.66 = 53,447.74 : x
  2. Step 2: Convert to fraction form
    211,219.33/316,829.66 = 53,447.74/x
  3. Step 3: Cross multiply
    211,219.33x = 316,829.66 × 53,447.74
  4. Step 4: Simplify right side
    211,219.33x = 16,933,829,291.97
  5. Step 5: Solve for x
    x = 16,933,829,291.97/211,219.33
  6. Step 6: Final answer
    x = 80,171.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.